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Finding the Fourth Proportional to 34,313.68, 51,470.52 and 9,689.68

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Solution

The fourth proportional to 34,313.68, 51,470.52 and 9,689.68 is: 14,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,313.68 : 51,470.52 = 9,689.68 : x
  2. Step 2: Convert to fraction form
    34,313.68/51,470.52 = 9,689.68/x
  3. Step 3: Cross multiply
    34,313.68x = 51,470.52 × 9,689.68
  4. Step 4: Simplify right side
    34,313.68x = 498,732,868.23
  5. Step 5: Solve for x
    x = 498,732,868.23/34,313.68
  6. Step 6: Final answer
    x = 14,534.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.